Ask question

Ask question

All categories

2 years ago

7

Use the Zero Product Property to find the x-intercepts (roots) of the following quadratic equations. You MUST show all work for

full credit!
a. `y=(2x+7)(x-13)

1 answer:

olya-2409 [2.1K]2 years ago

3 0

Answer:

x=-7/2, x=13

Step-by-step explanation:

2x+7=0

2x=-7

x=-7/2

x-13=0

x=13

You might be interested in

(5x^3-8x^2+9x+12)/(x-3)<br><br> please answer with sentences on how to do it step by step. thanks!

Anastaziya [24]

Answer:

$5x^2+7x+30+\frac{102}{x-3}$

Step-by-step explanation:

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}5x^3-8x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{5x^3}{x}=5x^2\\\mathrm{Quotient}=5x^2\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}5x^2:\:5x^3-15x^2\\\mathrm{Subtract\:}5x^3-15x^2\mathrm{\:from\:}5x^3-8x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=7x^2+9x+12\\\mathrm{Therefore}\\=5x^2+\frac{7x^2+9x+12}{x-3}$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}7x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{7x^2}{x}=7x\\\mathrm{Quotient}=7x\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}7x:\:7x^2-21x\\\mathrm{Subtract\:}7x^2-21x\mathrm{\:from\:}7x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=30x+12\\\mathrm{Therefore}\\=5x^2+7x+\frac{30x+12}{x-3}\\$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}30x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{30x}{x}=30\\\mathrm{Quotient}=30\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}30:\:30x-90\\\mathrm{Subtract\:}30x-90\mathrm{\:from\:}30x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=102\\\mathrm{Therefore}\\=5x^2+7x+30+\frac{102}{x-3}$

6 0

2 years ago

Read 2 more answers

What is the solution of the system of equations? {7/2x−1/2y=9/23x−y=5 Enter your answer in the boxes. ( _ , _ )

dimulka [17.4K]

Answer:

(1, -2)

Step-by-step explanation:

I hope that helps :/

5 0

2 years ago

Read 2 more answers

Angle C is an inscribed angle of circle P. Angle C measure (17x-2) and arc AB measure (20x+10). Find X

jeyben [28]

10x + 5 = 16x - 1
<span>6x = 6 </span>
<span>x = 1 </span>

5 0

3 years ago

How many cubes would you use to make the structure above/below

loris [4]

The answer is 17 cubes.
I drew lines to make cubes so I could see it better

8 0

3 years ago

Read 2 more answers

3+3+3+3+3 what is the product?

lukranit [14]

The correct answer is 15

7 0

3 years ago

Read 2 more answers